• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Community
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
        • Syntax-for-tools
        • Atc
        • Language
          • Abstract-syntax
          • Integer-ranges
          • Implementation-environments
          • Dynamic-semantics
          • Static-semantics
          • Grammar
          • Integer-formats
          • Types
          • Portable-ascii-identifiers
          • Values
          • Integer-operations
            • Convert-integer-value
            • Result-integer-value
            • Uaconvert-values
            • Bitnot-integer-value
            • Bitand-integer-values
            • Promote-value
            • Rem-integer-values
            • Shr-integer-values
            • Shl-integer-values
            • Div-integer-values
            • Bitxor-integer-values
            • Bitior-integer-values
            • Value-integer
            • Sub-integer-values
            • Mul-integer-values
            • Add-integer-values
            • Ne-integer-values
            • Lt-integer-values
            • Le-integer-values
            • Gt-integer-values
            • Ge-integer-values
            • Eq-integer-values
            • Minus-integer-value
            • Plus-integer-value
            • Value-integer->get
            • Lognot-integer-value
            • Test-integer-value
            • Value-integer-and-value-integer->get
          • Computation-states
          • Object-designators
          • Operations
          • Errors
          • Tag-environments
          • Function-environments
          • Character-sets
          • Flexible-array-member-removal
          • Arithmetic-operations
          • Pointer-operations
          • Bytes
          • Keywords
          • Real-operations
          • Array-operations
          • Scalar-operations
          • Structure-operations
        • Representation
        • Transformation-tools
        • Insertion-sort
        • Pack
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Integer-operations

Value-integer->get

Turn a C integer value into a mathematical (i.e. ACL2) integer.

Signature

(value-integer->get val) → mathint

Arguments

val — Guard (valuep val).

Returns

mathint — Type (integerp mathint).

Definitions and Theorems

Function: value-integer->get

(defun value-integer->get (val)
  (declare (xargs :guard (valuep val)))
  (declare (xargs :guard (value-integerp val)))
  (let ((__function__ 'value-integer->get))
    (declare (ignorable __function__))
    (value-case val
                :uchar val.get
                :schar val.get
                :ushort val.get
                :sshort val.get
                :uint val.get
                :sint val.get
                :ulong val.get
                :slong val.get
                :ullong val.get
                :sllong val.get
                :pointer (ifix (impossible))
                :array (ifix (impossible))
                :struct (ifix (impossible)))))

Theorem: integerp-of-value-integer->get

(defthm integerp-of-value-integer->get
  (b* ((mathint (value-integer->get val)))
    (integerp mathint))
  :rule-classes :rewrite)

Theorem: value-integer->get-bounds

(defthm value-integer->get-bounds
  (and (<= (integer-type-min (type-of-value val))
           (value-integer->get val))
       (<= (value-integer->get val)
           (integer-type-max (type-of-value val))))
  :rule-classes
  ((:linear :trigger-terms ((value-integer->get val)))))

Theorem: value-integer->get-of-value-fix-val

(defthm value-integer->get-of-value-fix-val
  (equal (value-integer->get (value-fix val))
         (value-integer->get val)))

Theorem: value-integer->get-value-equiv-congruence-on-val

(defthm value-integer->get-value-equiv-congruence-on-val
  (implies (value-equiv val val-equiv)
           (equal (value-integer->get val)
                  (value-integer->get val-equiv)))
  :rule-classes :congruence)